Finding the Third Proportional to 36,019.69 and 39,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   36,019.69 : 39,178.69 = 39,178.69 : x
2. Step 2: Convert to fraction form
   36,019.69/39,178.69 = 39,178.69/x
3. Step 3: Cross multiply
   36,019.69x = 39,178.69 × 39,178.69
4. Step 4: Simplify right side
   36,019.69x = 1,534,969,554.22
5. Step 5: Solve for x
   x = 1,534,969,554.22/36,019.69
6. Step 6: Final answer
   x = 42,614.74